Modelling Linguistic Expressions Using Fuzzy Relations

Ulrich Bodenhofer, Martine De Cock, Etienne Emile Kerre

Research output: Chapter in Book/Report/Conference proceedingConference proceedingspeer-review

Abstract

The concept of an image of a fuzzy set under a fuzzy relation has proved to be a very powerful tool in fuzzy set theoretical applications. In this paper, we explain how it can be used to model linguistic expressions. For the representation of expressions, such as "at least middle-aged", "brighter than average", we will use fuzzy ordering relations, while resemblance relations will be suitable to model linguistic terms, such as "more or less expensive" and "very tall". We will show how these representations can be smoothly integrated in approximate reasoning schemes using the compositional rule of inference.
Original languageEnglish
Title of host publicationProc. 6th Int. Conf on Soft Computing (IIZUKA2000)
Pages353-360
Number of pages8
Publication statusPublished - Oct 2000

Fields of science

  • 101 Mathematics
  • 101004 Biomathematics
  • 101027 Dynamical systems
  • 101013 Mathematical logic
  • 101028 Mathematical modelling
  • 101014 Numerical mathematics
  • 101020 Technical mathematics
  • 101024 Probability theory
  • 102001 Artificial intelligence
  • 102003 Image processing
  • 102009 Computer simulation
  • 102019 Machine learning
  • 102023 Supercomputing
  • 202027 Mechatronics
  • 206001 Biomedical engineering
  • 206003 Medical physics
  • 102035 Data science

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